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      Question

      The average of 7 data points is 60. If two additional data

      points with average 'x' are included, the overall average increases by 15%. What is the value of 'x'?
      A 172.5 Correct Answer Incorrect Answer
      B 156.1 Correct Answer Incorrect Answer
      C 250.5 Correct Answer Incorrect Answer
      D 100.5 Correct Answer Incorrect Answer

      Solution

      ATQ,

      Sum of 7 data points = 7 Γ— 60 = 420

      New average of all the numbers = 60 Γ— 1.15 = 69

      So, sum of 9 numbers = 69 Γ— 9 = 621

      So, average of two new numbers = (621 - 420) Γ· 2 = 100.5

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